# How do you write the complex conjugate of the complex number #(3-i )/( 4-i )#?

##### 1 Answer

Jun 23, 2016

#### Answer:

#### Explanation:

Given a complex number *complex conjugate*, denoted

To find the complex conjugate of

Using the latter approach:

#=(3+i)/(4+i)#

#=((3+i)(4-i))/((4+i)(4-i))#

#=(13+i)/17#

#=13/17+1/17i#

Note that we were able to perform the division by multiplying the numerator and denominator by the complex conjugate of the denominator. This method takes advantage of the property that the product of a complex number and its conjugate is a real number.